Adit Mahmood 3.3 2/3/09 Block B Day 42 Big Idea
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question: What methods are there for comparing things?
A. If the pizzas at a table were shared equally by every one at the table, will a person sitting at the small table get as much as a person at the big table? No the people at the small table get a tiny bit less, because if you calculate the ratio, they aren’t the same. 4/10=.4 or 40 percent. And 3/8=.375 or 38 percent. 40<38.
B. The ratio of small tables to big tables is 8 to 5. if the tables are equal to 240 campers, then how many tables of 8 and 5 is there? There can be 20 large tables and 16 small tables. If you multiply 8 *10 you will get 80. If you multiply 5*8 you will get 40, and if you add them up, you will get 120. 120 is half of 240, so you take the results and multiply them by 2, so if the ratio of large was 8*10, you multiply the scale factor by 2, and you get 8*20. If you take 5*8, and increase the scale factor by 2, you get 5*16. If you do the math, you get 160+80 you get 240 as a result. F.U
How were ratios helpful?
With ratios, you can decide if 2 tables can give everyone the same amount for both tables. (Question 1) You can also decide how much or proportion one group can get. (Question 2)
2. How much pizzas will the cook need to buy to put 4 on every large table and 3 on every small table? 128 pizzas in total, and 80 pizzas for large and 48 pizzas for small tables. Add them up and you get 128 pizzas.
2/3/09
Block B
Day 42
Big Idea
Many important practical and mathematical applications involve comparing quantities of one kind or another; it is important to know which method to use and how we should use them.
Essential Question:
What methods are there for comparing things?
A. If the pizzas at a table were shared equally by every one at the table, will a person sitting at the small table get as much as a person at the big table?
No the people at the small table get a tiny bit less, because if you calculate the ratio, they aren’t the same. 4/10=.4 or 40 percent. And 3/8=.375 or 38 percent. 40<38.
B. The ratio of small tables to big tables is 8 to 5. if the tables are equal to 240 campers, then how many tables of 8 and 5 is there?
There can be 20 large tables and 16 small tables. If you multiply 8 *10 you will get 80. If you multiply 5*8 you will get 40, and if you add them up, you will get 120. 120 is half of 240, so you take the results and multiply them by 2, so if the ratio of large was 8*10, you multiply the scale factor by 2, and you get 8*20. If you take 5*8, and increase the scale factor by 2, you get 5*16. If you do the math, you get 160+80 you get 240 as a result.
F.U
With ratios, you can decide if 2 tables can give everyone the same amount for both tables. (Question 1) You can also decide how much or proportion one group can get. (Question 2)
2. How much pizzas will the cook need to buy to put 4 on every large table and 3 on every small table?
128 pizzas in total, and 80 pizzas for large and 48 pizzas for small tables. Add them up and you get 128 pizzas.